Question

1. a television is identified by the diagonal measurement of the screen. a television has a 36 - inch screen whose diagonal height is 22 inches. what is the length of the television screen?

Explanation:

Step1: Apply Pythagorean theorem

Let $l$ = length, $h=22$ in, $d=36$ in.
$$d^2 = l^2 + h^2$$

Step2: Rearrange to solve for $l$

$$l^2 = d^2 - h^2$$

Step3: Substitute values and calculate

$$l^2 = 36^2 - 22^2 = 1296 - 484 = 812$$

Step4: Compute square root for length

$$l = \sqrt{812} \approx 28.49$$

Answer:

The length of the television screen is approximately 28.5 inches, or exactly $\sqrt{812}$ inches.